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MOVEABLE
PULLEY
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| In a moveable pulley, one end of the rope which passes around the pulley is tied to a firm support O and effort P is applied to the other end. The load is hung from the hook of the block. As the load is applied by two segments of rope, | |||
| the effort becomes twice of the applied value i.e. | |||
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EFFORT
= 2 x P
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| In equilibrium condition we have | |||
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Load
= Effort
W = 2P |
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Dividing
both sides by P
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W/P
= 2
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but
[W/P = M.A]
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| thus | |||
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M.A.
= 2
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| This shows that a moveable pulley can lift a load double the effort. | |||
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INCLINED
PLANE
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| Any
smooth plane surface which makes an angle q
with the horizontal surface
is called an Inclined plane. Where 0o < q <90o or values of q lies between 0o and 90o . |
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USES
OF
INCLINED PLANE |
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| For latest information , free computer courses and high impact notes visit : www.citycollegiate.com | |||
| It is a simple machine and is used to raise heavy loads by applying little effort. | |||
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MECHANICAL
ADVANTAGE
OF INCLINED PLANE |
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| In the figure AB is an inclined plane which makes an angle q with the horizontal plane. A load W is being raised from A to B by applying an effort P. If we neglect the force of friction between load and inclined plane | |||
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Output
= input
Weight x height = effort x distance W x h = P x L W*h/P = L W/P = L/h OR W/P = 1/h/L in right angled DOAB Sin q = OB/AB Sin q = h/L [ perpendicular/hypotenuse = sinq] therefore W/P = 1/sinq but [W/P = M.A.] Thus M.A. = 1/sinq |
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| This expression shows that mechanical advantage of an inclined plane depends upon the value of sinq. | |||
| For latest information , free computer courses and high impact notes visit : www.citycollegiate.com | |||